Maximum entropy reconstruction and the observed symmetries of higher order galaxy covariance functions

Details Maximum entropy reconstruction and the observed symmetries of higher order galaxy covariance functions Maximum entropy reconstruction and the observed symmetries of higher order galaxy covariance functions

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...333..130k&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 333, Oct. 1, 1988, p. 130-132. Research supported by Syracuse University.

Statistics

Computation

Covariance, Galactic Clusters, Maximum Entropy Method, Computational Astrophysics, Mass Distribution

Scientific paper

Observations of galaxy clustering indicate that, to an excellent degree of approximation, the three- (and perhaps higher-) point spatial covariance functions can be expressed as symmetrized products of two-point functions Xi(12) in a fashion reminiscent of, but distinct from, a Kirkwood, or cluster, decomposition. This is striking because the usual 'derivations' of cluster decompositions assume weak correlations, a criterion not realized by the observed clustering. This paper seeks to elucidate the observed clustering by asking what is the 'most likely' three-point function h(123) consistent with the observed Xi(12). Information theory shows that this most likely h(123) is, in fact, given precisely by the Kirkwood form, so that, in a well-defined mathematical sense, the observed h(123) is close to, but different from, its most probable form.

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